2(3x-7)-3=2(x-3)-3

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Solution for 2(3x-7)-3=2(x-3)-3 equation:


Simplifying
2(3x + -7) + -3 = 2(x + -3) + -3

Reorder the terms:
2(-7 + 3x) + -3 = 2(x + -3) + -3
(-7 * 2 + 3x * 2) + -3 = 2(x + -3) + -3
(-14 + 6x) + -3 = 2(x + -3) + -3

Reorder the terms:
-14 + -3 + 6x = 2(x + -3) + -3

Combine like terms: -14 + -3 = -17
-17 + 6x = 2(x + -3) + -3

Reorder the terms:
-17 + 6x = 2(-3 + x) + -3
-17 + 6x = (-3 * 2 + x * 2) + -3
-17 + 6x = (-6 + 2x) + -3

Reorder the terms:
-17 + 6x = -6 + -3 + 2x

Combine like terms: -6 + -3 = -9
-17 + 6x = -9 + 2x

Solving
-17 + 6x = -9 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
-17 + 6x + -2x = -9 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-17 + 4x = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-17 + 4x = -9 + 0
-17 + 4x = -9

Add '17' to each side of the equation.
-17 + 17 + 4x = -9 + 17

Combine like terms: -17 + 17 = 0
0 + 4x = -9 + 17
4x = -9 + 17

Combine like terms: -9 + 17 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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